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Finding the Fourth Proportional to 6,313.12, 9,471.65 and 2,617.09

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Solution

The fourth proportional to 6,313.12, 9,471.65 and 2,617.09 is: 3,926.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.12 : 9,471.65 = 2,617.09 : x
  2. Step 2: Convert to fraction form
    6,313.12/9,471.65 = 2,617.09/x
  3. Step 3: Cross multiply
    6,313.12x = 9,471.65 × 2,617.09
  4. Step 4: Simplify right side
    6,313.12x = 24,788,160.50
  5. Step 5: Solve for x
    x = 24,788,160.50/6,313.12
  6. Step 6: Final answer
    x = 3,926.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.